Question

show that the following system of the equation has a unique solution and hence find the solution of the given system of equation x/3+y/2=3;x-2y=2

Answer 1

Step-by-step explanation:

x-2y=2

x=2+2y

Now,

x/3+y/2=3

2+2y/3+y/2=3

2 (2+2y)+3y/6=3

2 (2+2y)+3y=18

4+4y+3y=18

4+7y=18

7y=14

y=2

x-2y=2

x-2 (2)=2

x-4=2

x=6